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A003750
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Number of Hamiltonian paths in K_5 X P_n.
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0
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60, 8760, 617400, 36021240, 1871009400, 90539967480, 4181860331640, 187073020183800, 8181829090755960, 352081040138505720, 14972983484769861240, 631272829225942738680
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,1
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REFERENCES
| F. Faase, On the number of specific spanning subgraphs of the graphs G X P_n, Ars Combin. 49 (1998), 129-154.
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LINKS
| F. Faase, On the number of specific spanning subgraphs of the graphs G X P_n, Preliminary version of paper that appeared in Ars Combin. 49 (1998), 129-154.
F. Faase, Counting Hamilton cycles in product graphs
F. Faase, Results from the counting program
F. Faase, Counting Hamilton cycles in product graphs
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FORMULA
| a(1) = 60,
a(2) = 8760,
a(3) = 617400,
a(4) = 36021240,
a(5) = 1871009400,
a(6) = 90539967480,
a(7) = 4181860331640,
a(8) = 187073020183800, and
a(n) = 95a(n-1) - 2854a(n-2) + 23880a(n-3) + 97152a(n-4) + 29616a(n-5) - 19296a(n-6) - 6912a(n-7).
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CROSSREFS
| Sequence in context: A091753 A130214 A146498 * A001525 A146513 A145411
Adjacent sequences: A003747 A003748 A003749 * A003751 A003752 A003753
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KEYWORD
| nonn
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AUTHOR
| Frans Faase (Frans_LiXia(AT)wxs.nl)
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EXTENSIONS
| Added recurrence from Faase's web page. - N. J. A. Sloane (njas(AT)research.att.com), Feb 03 2009
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